7x+3=7x+3 3(4x+8)=4(3x+6)

Question

Question 2: Infinite Solutions
Consider the two equations you circled, which form a system with infinite solutions.
Solve the equations.

Answer 1

For the first equation, 7x+3=7x+3, both sides are equal. So any value of x will satisfy this equation. Therefore, there are infinite solutions.

For the second equation, 3(4x+8)=4(3x+6), we can simplify by multiplying out the brackets:

12x + 24 = 12x + 24

Subtracting 12x and 24 from both sides, we get:

12x - 12x = 24 - 24
0 = 0

Since the left-hand side simplifies to 0, this equation is true for any value of x. Therefore, there are infinite solutions.

In summary, both of the given equations have infinite solutions.